3-NIRVANA-user-guide/3.2-User-interfaces.md

@@ -1412,13 +1412,13 @@ by the appropriate choice of parameter `_C.conduction` in file
 Ohmic diffusion enters the induction equation and energy equation as a
 field contribution given by
 
-$$\mathbf{E}_\mathrm{D}=\eta_\mathrm{D} \nabla\times\mathbf{B}$$
+**E**<sub>*D*</sub> = *η*<sub>*D*</sub>∇×**B**
 
-where $\eta_\mathrm{D}$ in units \[m$^2\cdot$s$^{-1}$\] is the diffusion
-coefficient.
+where *η*<sub>*D*</sub> in units \[m<sup>2</sup>⋅s<sup>−1</sup>\] is the
+diffusion coefficient.
 
-A user-defined coefficients, $\eta_\mathrm{D}$, has to be assigned in
-module `diffusionCoeffUser.c` in the function
+A user-defined coefficients, *η*<sub>*D*</sub>,
+has to be assigned in module `diffusionCoeffUser.c` in the function
 
       diffusionCoeffUser(g,diff);
 
@@ -1451,15 +1451,16 @@ user-defined ambipolar diffusion coefficient.
 Ambipolar diffusion enters the induction equation and energy equation as
 a field contribution given by
 
-$$\mathbf{E}_\mathrm{AD}=\eta_\mathrm{AD}/\mu\mathbf{B}\times\left[(\nabla\times\mathbf{B})
-\times\mathbf{B}\right]$$
+**E**<sub>*AD*</sub> = *η*<sub>*AD*</sub>/*μ* **B**×[(∇×**B**)×**B**\]
 
-where $\eta_\mathrm{AD}$ \[V$\cdot$m$\cdot$A$^{-1}\cdot$T$^{-2}$\]
-denotes the ambipolar diffusion coefficient. The prefactor
-$\eta_\mathrm{AD}/\mu$ has units m$^2\cdot$s$^{-1}\cdot$T$^{-2}$.
+where *η*<sub>*AD*</sub> in units \[V⋅m⋅A<sup>−1</sup>⋅T<sup>−2</sup>\] 
+denotes the ambipolar diffusion coefficient.
 
-A user-defined coefficients, $\eta_\mathrm{AD}$, has to be assigned in
-module `APdiffusionCoeffUser.c` in the function
+The prefactor* *η*<sub>*AD*</sub>/*μ* has units 
+m<sup>2</sup>⋅s<sup>−1</sup>⋅T<sup>−2</sup>.
+
+A user-defined coefficients, *η*<sub>*AD*</sub>,
+has to be assigned in module `APdiffusionCoeffUser.c` in the function
 
       APdiffusionCoeffUser(g,APdiff);